A network consists of two nodes in tandem. There are n_{1} flows of type 1 and n2 flows of type 2. Flows of type i have arrival curve α_{i}(t) = r_{i}t + b_{i}, i = 1, 2. All flows go through nodes 1 then 2. Every node is made of a shaper followed by an EDF scheduler. At both nodes, the shaping curve for flows of type i is some σ_{i} and the delay budget for flows of type i is di. Every flow of type i should have a end-to-end delay bounded by Di. Our problem is to find good values of d_{1} and d_{2}.

1. We assume that σ_{i }= α_{i}. What are the conditions on d_{1} and d_{2} for the end-to-end delay bounds to be satisfied ? What is the set of (n1, n2) that are schedulable ?

2. Same question if we set σ_{i} = λ_{ri}